Coloured black holes in higher curvature string gravity

We consider the combined Yang-Mills-Dilaton-Gravity system in the presence of a Gauss-Bonnet term as it appears in the 4D Effective Superstring Action. We give analytical arguments and demonstrate numerically the existence of black hole solutions with non-trivial dilaton and Yang-Mills hair for the particular case of SU(2) gauge fields. The thermodynamical properties of the solutions are also discussed.